Lots-of-LoRAs/task1422_mathqa_physics huggingface dataset:
Input: Problem: two pipes a and b can separately fill a tank in 12 and 20 minutes respectively . a third pipe c can drain off 45 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ? 
Options: a ) 542 , b ) 540 , c ) 675 , d ) 829 , e ) 279
Output: c
Input: Problem: 30 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? 
Options: a ) 20 , b ) 77 , c ) 36 , d ) 25 , e ) 13
Output: a
Input: Problem: a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 80 kmph . when and at what distance from mumbai do the two trains meet ? 
Options: a ) 87 , b ) 279 , c ) 80 , d ) 278 , e ) 379
Output: c
Input: Problem: a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 555 in all . for how many days was he absent ? 
Options: a ) 8 , b ) 10 , c ) 15 , d ) 6 , e ) 19
Output: d
Input: Problem: in one hour , a boat goes 14 km / hr along the stream and 8 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is : 
Options: a ) 14 km / hr , b ) 13 km / hr , c ) 12 km / hr , d ) 11 km / hr , e ) 10 km / hr
Output: d
Input: Problem: let a be the event that a randomly selected two digit number is divisible by 10 and let b be the event that a randomly selected two digit number is divisible by 5 . what is p ( a and b ) ? 
Options: a ) 1 / 50 , b ) 1 / 30 , c ) 1 / 15 , d ) 1 / 10 , e ) 1 / 5
Output: a
Input: Problem: a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed w of the train . 
Options: a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61
Output: c
Input: Problem: the current in a river is 4 mph . a boat can travel 18 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ? 
Options: a ) 69 miles , b ) 85.5 miles , c ) 96 miles , d ) 100 miles , e ) 112 miles
Output: b
Input: Problem: a train of length 250 m crosses a bridge of length 150 m in 20 seconds . what is the speed of train ? 
Options: a ) 33 , b ) 27 , c ) 25 , d ) 22 , e ) 72
Output: e
Input: Problem: a can complete the job in 5 hours and b can complete the same job in 3 hours . a works for 1 hour and then b joins and both complete the job . what fraction of the job did b complete 
Options: a ) 1 / 8 , b ) 3 / 10 , c ) 1 / 2 , d ) 5 / 6 , e ) 8 / 9
Output: a
Input: Problem: 225 mtrs long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18
Output: a
Input: Problem: if 12 men or 20 women can do a piece of work in 108 days , then in how many days can 9 men and 12 women together do the work ? 
Options: a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days
Output: d
Input: Problem: in a dairy farm , 30 cows eat 30 bags of husk in 30 days . in how many days one cow will eat one bag of husk ? 
Options: a ) 1 , b ) 40 , c ) 20 , d ) 26 , e ) 30
Output: e
Input: Problem: a , b , c can complete a piece of work in 21 , 6,12 days . working together , they complete the same work in how many days ? 
Options: a ) 2 , b ) 4 / 5 , c ) 7 / 9 , d ) 10 , e ) 84 / 25
Output: e
Input: Problem: a train 110 m long is running with a speed of 40 km / hr . in what time will it pass a man who is running at 5 km / hr in the direction opposite to that in which the train is going ? 
Options: a ) 5 , b ) 6 , c ) 7.5 , d ) 8.8 , e ) 9
Output: d
Input: Problem: a train , 800 meter long is running with a speed of 78 km / hr . it crosses a tunnel in 1 minute . what is the length of the tunnel ( in meters ) ? 
Options: a ) 440 m , b ) 500 m , c ) 260 m , d ) 430 m , e ) 450 m
Output: b
Input: Problem: express 60 mps in kmph ? 
Options: a ) 200 , b ) 182 , c ) 216 , d ) 127 , e ) 400
Output: c
Input: Problem: nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days they completed 1 / 3 part of work . than how many more emploies should nhai hire to finish it in time working 10 hours a day 
Options: a ) 60 , b ) 70 , c ) 80 , d ) 50 , e ) 40
Output: a
Input: Problem: xavier starts from p towards q at a speed of 90 kmph and after every 12 mins increases his speed by 10 kmph . if the distance between p and q is 51 km , then how much time does he take to cover the distance ? 
Options: a ) 30 , b ) 32 , c ) 30 , d ) 36 , e ) 40
Output: d
Input: Problem: a man complete a journey in 10 hours . he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 20 km / hr . find the total journey in km . 
Options: a ) 220 km , b ) 224 km , c ) 230 km , d ) 232 km , e ) 200 km
Output: e
Input: Problem: one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill the tank in 35 minutes , then the slower pipe alone will be able to fill the tank in 
Options: a ) 144 mins , b ) 140 mins , c ) 136 mins , d ) 132 minw , e ) none of these
Output: b
Input: Problem: excluding stoppages , the speed of a bus is 64 kmph and including stoppages , it is 50 kmph . for how many minutes does the bus stop per hour ? 
Options: a ) 15.5 , b ) 12.3 , c ) 10.5 , d ) 10.12 , e ) 13.12
Output: e
Input: Problem: a train running at the speed of 6 km / hr crosses a pole in 2 seconds . find the length of the train ? 
Options: a ) 150 , b ) 872 , c ) 3.33 , d ) 3.21 , e ) 30.1
Output: c
Input: Problem: anand finishes a work in 7 days , bittu finishes the same job in 8 days and chandu in 6 days . they take turns to finish the work . anand on the first day , bittu on the second and chandu on the third day and then anand again and so on . on which day will the work get over ? 
Options: a ) 3 rd , b ) 6 th , c ) 9 th , d ) 7 th , e ) 8 th
Output: d
Input: Problem: a and b can do a piece of work in 7 days . with the help of c they finish the work in 4 days . c alone can do that piece of work in ? 
Options: a ) 33 , b ) 9 1 / 3 , c ) 30 , d ) 88 , e ) 11
Output: b
Input: Problem: jane and ashley take 10 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ? 
Options: a ) 10.2 days , b ) 15.2 days , c ) 16.2 days , d ) 18 days , e ) 20 days
Output: b
Input: Problem: ram , who is half as efficient as krish , will take 30 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ? 
Options: a ) 16 days , b ) 10 days , c ) 8 days , d ) 6 days , e ) 18 days
Output: b
Input: Problem: angelina walked 150 meters from her home to the grocery at a constant speed . she then walked 200 meters to the gym at double the speed . she spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 10 , e ) 12
Output: d
Input: Problem: darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ? 
Options: a ) 10.5 , b ) 15 , c ) 15.5 , d ) 30 , e ) 60
Output: c
Input: Problem: what decimal fraction is 50 ml of a litre ? 
Options: a ) . 5 , b ) . 05 , c ) . 05 , d ) 0.05 , e ) none of these
Output: b
Input: Problem: two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 100 kmph , find the rate at which the train b runs . 
Options: a ) 40 , b ) 60 , c ) 150 , d ) 80 , e ) 100
Output: c
Input: Problem: a machine , working at a constant rate , manufactures 40 pencils in 30 minutes . how many pencils does it make in 1 hr 30 min ? 
Options: a ) 120 , b ) 125 , c ) 110 , d ) 115 , e ) 121
Output: a
Input: Problem: in a km race , a beats bby 28 metres or 7 seconds . find a ' s timeoverthe course 
Options: a ) 4 min , b ) 3 min 3 sec , c ) 4 min 4 sec , d ) 5 min 3 sec , e ) 4 min 3 sec
Output: e
Input: Problem: find the cost of fencing around a circular field of diameter 42 m at the rate of rs . 3 a meter ? 
Options: a ) 138 , b ) 390 , c ) 393 , d ) 279 , e ) 222
Output: c
Input: Problem: a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 6 minutes . how much time will be take to cover a distance of 6 kilometres ? 
Options: a ) 48 min . , b ) 50 min . , c ) 66 min . , d ) 55 min . , e ) none of these
Output: c
Input: Problem: a 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ? 
Options: a ) 550 , b ) 289 , c ) 350 , d ) 882 , e ) 281
Output: a
Input: Problem: x can finish a work in 36 days . y can finish the same work in 24 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ? 
Options: a ) 12 , b ) 13 , c ) 16 , d ) 17 , e ) 18
Output: e
Input: Problem: if the perimeter of a rectangular park is 1000 m , its length when its breadth is 200 m is ? 
Options: a ) 50 , b ) 100 , c ) 200 , d ) 300 , e ) 400
Output: d
Input: Problem: two trains are moving in opposite directions with speed of 110 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds 
Options: a ) 26 , b ) 48 , c ) 47 , d ) 36 , e ) 25
Output: d
Input: Problem: a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length 
Options: a ) 20 seconds , b ) 44 seconds , c ) 40 seconds , d ) 50 seconds , e ) none of these
Output: b
Input: Problem: a circular path of 12 m radius has marginal walk 2 m wide all round it . find the cost of leveling the walk at 50 p per m 2 ? 
Options: a ) rs . 49 , b ) rs . 40 , c ) rs . 81.72 , d ) rs . 42 , e ) rs . 43
Output: c
Input: Problem: jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 6 hours . how long would it take taimour to paint the fence alone ? 
Options: a ) 6 hours , b ) 8 hours , c ) 18 hours , d ) 24 hours , e ) 32 hours
Output: c
Input: Problem: a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 5 t seconds , then what is the length of the platform ? 
Options: a ) l , b ) 2 l , c ) 3 l , d ) 4 l , e ) 5 l
Output: d
Input: Problem: a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 second . what is the length of the other train ? 
Options: a ) 150 m , b ) 230 m , c ) 290 m , d ) 310 m , e ) 420 m
Output: b
Input: Problem: a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ? 
Options: a ) 1.5 , b ) 1.8 , c ) 2.1 , d ) 2.4 , e ) 2.7
Output: c
Input: Problem: there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 2424 plants . how many birches were planted ? 
Options: a ) 2 , b ) 5 , c ) 8 , d ) 6 , e ) 4
Output: d
Input: Problem: without stoppages , a train travels certain distance with an average speed of 300 km / h , and with stoppages , it covers the same distance with an average speed of 200 km / h . how many minutes per hour the train stops ? 
Options: a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24
Output: a
Input: Problem: working together , jose and jane can complete an assigned task in 30 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose 
Options: a ) 90 days , b ) 30 days , c ) 60 days , d ) 65 days , e ) 36 days
Output: a
Input: Problem: two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 12 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? 
Options: a ) 477 , b ) 396 , c ) 279 , d ) 276 , e ) 291
Output: b
Input: Problem: the length of a train and that of a platform are equal . if with a speed of 54 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ? 
Options: a ) 227 , b ) 299 , c ) 450 , d ) 750 , e ) 211
Output: c
Input: Problem: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 290 m long ? 
Options: a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 52 sec
Output: e
Input: Problem: the perimeter of a semi circle is 140 cm then the radius is ? 
Options: a ) 27 , b ) 28 , c ) 19 , d ) 11 , e ) 12
Output: a
Input: Problem: a train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . the length of the train is : 
Options: a ) 45 m , b ) 50 m , c ) 54 m , d ) 72 m , e ) none of these
Output: b
Input: Problem: the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 7 miles per gallon , will not get him there . by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 40 , e ) 160
Output: c
Input: Problem: the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 600 per sq . metre . 
Options: a ) rs . 12375 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 16500 , e ) none of these
Output: a
Input: Problem: 8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 12 such machines to perform the same job ? 
Options: a ) 6 hours , b ) 8.75 hours , c ) 12 hours , d ) 4 hours , e ) 16 hours
Output: d
Input: Problem: two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ? 
Options: a ) 12 , b ) 14 , c ) 10.9 , d ) 20 , e ) 18
Output: c
Input: Problem: how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 4 m x 2 m x 25 cm ? 
Options: a ) 5600 , b ) 6000 , c ) 1185 , d ) 7200 , e ) 8600
Output: c
Input: Problem: steve traveled the first 2 hours of his journey at 30 mph and the last 3 hours of his journey at 80 mph . what is his average speed of travel for the entire journey ? 
Options: a ) 68 mph , b ) 56.67 mph , c ) 60 mph , d ) 64 mph , e ) 66.67 mph
Output: c
Input: Problem: in a garden , there are 10 rows and 14 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is 
Options: a ) 20 m , b ) 22 m , c ) 24 m , d ) 26 m , e ) 28 m
Output: e
Input: Problem: a train 250 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 150 m long ? 
Options: a ) 45 sec , b ) 42 sec , c ) 32 sec , d ) 48 sec , e ) 25 sec
Output: c
Input: Problem: if 5 machines can produce 20 units in 10 hours , how long would it take 10 machines to produce 100 units ? 
Options: a ) 25 , b ) 30 , c ) 35 , d ) 24 , e ) 96
Output: a
Input: Problem: how many cubes of 25 cm edge can be put in a cubical box of 1 m edge . 
Options: ['a ) 177 cm', 'b ) 100 cm', 'c ) 86 cm', 'd ) 64 cm', 'e ) 87 cm']
Output: d
Input: Problem: a monkey ascends a greased pole 6 meters high . he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute . if this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ? 
Options: a ) 9 th minute , b ) 21 st minute , c ) 11 th minute , d ) 22 nd minute , e ) 13 th minute
Output: a
Input: Problem: one train is travelling 45 kmph and other is at 10 meters a second . ratio of the speed of the two trains is ? 
Options: a ) 3 : 3 , b ) 5 : 7 , c ) 5 : 4 , d ) 7 : 2 , e ) 8 : 5
Output: c
Input: Problem: steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph . what is his average speed of travel for the entire journey ? 
Options: a ) 53.33 mph , b ) 88 mph , c ) 60 mph , d ) 64 mph , e ) 66.67 mph
Output: b
Input: Problem: a and b can do a work in 8 hours and 12 hours respectively . a starts the work at 6 am and they work alternately for one hour each . when will the work be completed ? 
Options: a ) 9.6 days , b ) 7.6 days , c ) 4 days , d ) 8.6 days , e ) 6.6 days
Output: a
Input: Problem: a river 2 m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is ? 
Options: a ) 4500 m 3 , b ) 4580 m 3 , c ) 10500 m 3 , d ) 4900 m 3 , e ) 4700 m 3
Output: c
Input: Problem: annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 20 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ? 
Options: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) 100
Output: b
Input: Problem: from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is two times longer . if ferry p is slower than ferry q by 4 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Output: a
Input: Problem: a person can swim in still water at 16 km / h . if the speed of water 8 km / h , how many hours will the man take to swim back against the current for 12 km ? 
Options: a ) 3 , b ) 1.5 , c ) 2.3 , d ) 1.8 , e ) 6
Output: b
Input: Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 210 - mile journey ? assume that the train makes no intermediate stops . 
Options: a ) 6 , b ) 6.5 , c ) 7 , d ) 7.5 , e ) 5
Output: a
Input: Problem: stacy and heather are 15 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? . 
Options: a ) 6.5 mile , b ) 5.7 mile , c ) 7.0 mile , d ) 8.0 mile , e ) 12 mile
Output: b
Input: Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes , then the area of the park ( in sq . m ) is : 
Options: a ) 153601 , b ) 153600 , c ) 153602 , d ) 117600 , e ) 153604
Output: d
Input: Problem: a boat having a length 8 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : 
Options: a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 160 kg , e ) none of these
Output: d
Input: Problem: a contractor undertakes to built a walls in 50 days . he employs 20 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ? 
Options: a ) 25 , b ) 30 , c ) 35 , d ) 30 , e ) none of these
Output: d
Input: Problem: a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike 
Options: a ) 2534 , b ) 3545 , c ) 3521 , d ) 4564 , e ) 3576
Output: e
Input: Problem: a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . then b alone can finish same work in how many days ? 
Options: a ) 50 , b ) 60 , c ) 45 , d ) 35 , e ) 48
Output: b
Input: Problem: a can give b 60 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ? 
Options: a ) 63.83 , b ) 111.67 , c ) 111.64 , d ) 111.11 , e ) 101.12
Output: a
Input: Problem: a train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph , in 12 seconds . it also passes a railway platform in 45 seconds . the length of the platform is 
Options: a ) 400 m , b ) 450 m , c ) 560 m , d ) 600 m , e ) 680 m
Output: d
Input: Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 10 seconds . the length of the faster train is 
Options: a ) 225 m , b ) 100 m , c ) 120 m , d ) 180 m , e ) none
Output: a
Input: Problem: if an object travels 90 feet in 3 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet ) 
Options: a ) 17.36 , b ) 20.45 , c ) 23.87 , d ) 26.92 , e ) 29.56
Output: b
Input: Problem: what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 20 ” by 20 ” ? 
Options: a ) 5 , b ) 10 , c ) 16 , d ) 20 , e ) 25
Output: e
Input: Problem: how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ? 
Options: a ) 12.7 sec , b ) 10.1 sec , c ) 11.5 sec , d ) 12.1 sec , e ) 11.7 sec
Output: c
Input: Problem: the speed of a railway engine is 96 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , the maximum number of compartments that can be carried by the engine is : 
Options: a ) 19 , b ) 18 , c ) 16 , d ) 17 , e ) 14
Output: c
Input: Problem: it takes joey the postman 1 hours to run a 7 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 8 mile / hour , what is the speed with which joey returns ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 8 , e ) 15
Output: d